Class 11 Mathematics Chapter 8 Binomial Theorem MCQ Questions with Answer

Binomial Theorem Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Binomial Theorem class 11 MCQ which will help them all through their board test.

Binomial Theorem Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 8 Binomial Theorem. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Binomial Theorem Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Binomial Theorem MCQ with answers given below.

Question 1. The coefficient of xk in the expansion of A = 1 + (1 + x) + (1 + x)² + …. + (1 + x)n is :
(a) ⁿC_k
(b) ⁿ⁺¹C_k
(c) ⁿ⁺¹C_k–1
(d) none of these

Answer :  D
 

Question 2. What is the coefficient of x³ in (3 2x) / (1 3x)³
(a) – 272
(b) – 540
(c) – 870
(d) – 918

Answer :  D
 

Question 3. In the expansion of (1 + x)50, the sum of the coefficients of odd powers of x is :
(a) 0
(b) 249
(c) 250
(d) 251

Answer :  B
 

Question 4. 5 [( √5 +1)⁵⁰ – (√5 –1)⁵⁰ ] is
(a) an irrational number
(b) 0
(c) a natural number
(d) None of these

Answer :  C


Question 5. The minimum positive integral value of m such that (1073)⁷¹ – m may be divisible by 10, is
(a) 1
(b) 3
(c) 7
(d) 9

Question 6. The number of dissimilar terms in the expansion of      
(a + b – c)^2n-1 – (a + b + c)²ⁿ⁺¹is
(a) (n+1)²
(b) (n-1)²
(c) 4n^2-1 
(d) None of these

Answer :  A
 

Question 7. The total number of terms in the expansion of (x + a)¹⁰⁰ + (x – a) ¹⁰⁰ after simplification will be     
(a) 202
(b) 51
(c) 50
(d) None of these

Answer :  B

Question 8. If A and B are coefficients of xⁿ in the expansion of (1+ x)²ⁿ and (1+ x)^{2n –1} then :
(a) A = B
(b) 2A = B
(c) A = 2B
(d) AB = 2

Answer :  C


Question 9. In the expansion of (1 + x)ⁿ, the binomial coefficients of three consecutive terms are respectively 220, 495 and 792. The value of n is:
(a) 10
(b) 11
(c) 12
(d) 13

 

 

Question 10. If x is positive, the first negative term in the expansion of (1+ x)27 5 is
(a) 6th term
(b) 7th term
(c) 5th term
(d) 8th term

Answer :  D
 

Question 11. If (1+ax)n = 1 + 8x + 24x² … , then the values of a and n are     
(a) 2, 4
(b) 2, 3
(c) 3, 6
(d) 1, 2

Answer :  A
 

Question 12. By using the first three terms of its expansion , the approximate value of (0.99)⁵ is      
(a) 0.949
(b) 0.951
(c) 0.954
(d) None of these

Answer :  B
 

Question 13. If in the expansion of (2^x + 1/4^x)n , T3 = 7T2 and sum of the binomial coefficients of second and third terms is 36, then the value of x is –
(a) –1/3
(b) – 1/2
(c) 1/3
(d) 1/2

Answer :  A
 

Question 14. The coefficient of the middle term in the binomial expansion in powers of x of (1+ ax)4 and of (1- ax)6 is the same if a equals
(a) 3/5
(b) 10/3
(c) -3/10
(d) -5/3

Question 15. (√2 +√1)6 – (√2 – 1)6 is equal to      
(a) 101
(b) 70√2
(c) 140√2
(d) 120√2

Answer :  C
 

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Binomial Theorem Class 11 MCQ are ready by the subject specialists themselves.

Question 16. If the coefficient of rth, (r+1)th and (r+2)^th term in the expansion of (1 +X )¹⁴ are in AP, then the value of r is     
(a) 5 or 8
(b) 4 or 9
(c) 5 or 9
(d) 6 or 7

Answer :  C

Question 17. If ‘n’ is positive integer and three consecutive co-efficient in the expansion of (1 + x)n are in the ratio 6 : 33 : 110, then n is equal to :
(a) 9
(b) 6
(c) 12
(d) 16

Answer :  C

Question 18. The remainder left out when 8²ⁿ – (62)²ⁿ⁺¹ is divided by 9 is :
(a) 2
(b) 7
(c) 8
(d) 0

Answer :  A
 

Question 19. (1 + √2 x²)⁹ – 1 – 9√2 x² – 70x⁴ is divisible by
(a) x⁶
(b) x⁸
(c) x¹⁰
(d) none of these

 

Question 20. The number of terms which are free from radical signs in the expansion of ( y^1/5 + x^1/10)55 is   
(a) 5
(b) 6
(c) 7
(d) 4

Answer :  B
 

Question 21. C₁ + 2C₂ + 3C₃ +……+nCn is equal to     
(a) (n-1 )^2n-1
(b) n2^n-1
(c) n2ⁿ
(d) n2^n-2

Answer :  B
 

Question 22. For all n ∈ N, 2⁴ⁿ – 15n – 1 is divisible by     
(a) 225
(b) 125
(c) 325
(d) None of these

Answer :  A
 

Question 23. If (r+1) th term is the first negative term in the expansion of (1+X)^7/2 then the value of r is      
(a) 5
(b) 6
(c) 4
(d) 7

Question 24. The approximate value of( 7.995 )1/3 correct to four decimal places is     
(a) 1.9995
(b) 1.9996
(c) 1.9990
(d) 1.9991

Answer :  B 
 

Question 25. The value of (1.002)¹² upto fourth place of decimal is     
(a) 1.0242
(b) 1.0245
(c) 1.0004
(d) 1.0254

Answer :  A

Question 26. If x = 9950 + 10050 and y = (101)50 then
(a) x = y
(b) x < y
(c) x > y
(d) None of these

Answer :  B


Question 27. If the third term in the expansion of [x + xlog10x ]5 is 106, then x may be
(a) 1
(b) √10
(c) 10
(d) 10^{-2 / 5}

Answer :  C


Question 28. If 7⁹ + 9⁷ is divided by 64 then the remainder is
(a) 0
(b) 1
(c) 2
(d) 63

Answer :  A


Question 29. The number of term in the expansion of
[(x + 4y)³ (x – 4y)³]² is
(a) 6
(b) 7
(c) 8
(d) 32

Answer :  B
 

Question 30. The value of (1.0025)10 correct to five decimal places is    
(a) 1.025281
(b) 1.034285
(c) 1.005293
(d) None of these

 

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